%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO008-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Jul 26 06:57:43 EDT 2022
% Result : Unsatisfiable 32.11s 32.40s
% Output : CNFRefutation 32.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of clauses : 86 ( 86 unt; 0 nHn; 10 RR)
% Number of literals : 86 ( 85 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 140 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_12445') ).
cnf(eq_1,axiom,
multiply(X,Y) = multiply(Y,X),
file('/tmp/MaedMax_12445') ).
cnf(eq_2,axiom,
add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/tmp/MaedMax_12445') ).
cnf(eq_3,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_12445') ).
cnf(eq_4,axiom,
X = add(X,additive_identity),
file('/tmp/MaedMax_12445') ).
cnf(eq_5,axiom,
X = multiply(X,multiplicative_identity),
file('/tmp/MaedMax_12445') ).
cnf(eq_6,axiom,
add(X,inverse(X)) = multiplicative_identity,
file('/tmp/MaedMax_12445') ).
cnf(eq_7,axiom,
multiply(X,inverse(X)) = additive_identity,
file('/tmp/MaedMax_12445') ).
cnf(eq_8,negated_conjecture,
add(add(a,b),c) != add(a,add(b,c)),
file('/tmp/MaedMax_12445') ).
cnf(eq_9,plain,
add(multiply(x100,x102),multiply(x100,x101)) = multiply(x100,add(x101,x102)),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_10,plain,
add(multiply(X,x101),X) = multiply(X,add(x101,multiplicative_identity)),
inference(cp,[status(thm)],[eq_5,eq_3]) ).
cnf(eq_11,plain,
add(multiply(X,x101),multiply(Y,X)) = multiply(X,add(x101,Y)),
inference(cp,[status(thm)],[eq_1,eq_3]) ).
cnf(eq_12,plain,
add(multiply(X,x101),additive_identity) = multiply(X,add(x101,inverse(X))),
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_13,plain,
multiply(multiplicative_identity,X) = X,
inference(cp,[status(thm)],[eq_1,eq_5]) ).
cnf(eq_14,plain,
multiply(inverse(X),X) = additive_identity,
inference(cp,[status(thm)],[eq_1,eq_7]) ).
cnf(eq_15,plain,
multiply(add(X,Y),add(Y,x102)) = add(Y,multiply(X,x102)),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_16,plain,
multiply(multiplicative_identity,add(X,x102)) = add(X,multiply(inverse(X),x102)),
inference(cp,[status(thm)],[eq_6,eq_2]) ).
cnf(eq_17,plain,
multiply(add(Y,x101),add(X,Y)) = add(Y,multiply(x101,X)),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_18,plain,
multiply(add(X,x101),multiplicative_identity) = add(X,multiply(x101,inverse(X))),
inference(cp,[status(thm)],[eq_6,eq_2]) ).
cnf(eq_19,plain,
multiplicative_identity = add(inverse(X),X),
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_20,plain,
X = add(additive_identity,X),
inference(cp,[status(thm)],[eq_4,eq_0]) ).
cnf(eq_21,plain,
add(X,multiply(inverse(X),Y)) = multiply(multiplicative_identity,add(X,Y)),
eq_16 ).
cnf(eq_22,plain,
add(inverse(X),X) = multiplicative_identity,
eq_19 ).
cnf(eq_23,plain,
multiply(X,add(Y,Z)) = multiply(X,add(Z,Y)),
inference(rw,[status(thm)],[eq_9,eq_3]) ).
cnf(eq_24,plain,
add(X,multiply(Y,Z)) = multiply(add(X,Y),add(Z,X)),
eq_17 ).
cnf(eq_25,plain,
add(multiply(X,Y),multiply(Z,X)) = multiply(X,add(Y,Z)),
eq_11 ).
cnf(eq_26,plain,
add(X,Y) = add(X,multiply(Y,inverse(X))),
inference(rw,[status(thm)],[eq_18,eq_5]) ).
cnf(eq_27,plain,
add(multiply(X,Y),X) = multiply(X,add(Y,multiplicative_identity)),
eq_10 ).
cnf(eq_28,plain,
add(X,multiply(Y,Z)) = multiply(add(Y,X),add(X,Z)),
eq_15 ).
cnf(eq_29,plain,
multiply(X,Y) = multiply(X,add(Y,inverse(X))),
inference(rw,[status(thm)],[eq_12,eq_4]) ).
cnf(eq_30,negated_conjecture,
add(add(b,c),a) != add(add(a,b),c),
inference(cp,[status(thm)],[eq_0,eq_8]) ).
cnf(eq_31,plain,
add(additive_identity,multiply(inverse(X),x102)) = multiply(inverse(X),add(X,x102)),
inference(cp,[status(thm)],[eq_14,eq_3]) ).
cnf(eq_32,plain,
additive_identity = inverse(multiplicative_identity),
inference(cp,[status(thm)],[eq_14,eq_5]) ).
cnf(eq_33,plain,
add(x100,inverse(x100)) = add(x100,multiplicative_identity),
inference(cp,[status(thm)],[eq_13,eq_26]) ).
cnf(eq_34,plain,
add(x100,additive_identity) = add(x100,inverse(inverse(x100))),
inference(cp,[status(thm)],[eq_14,eq_26]) ).
cnf(eq_35,plain,
add(X,Y) = add(multiply(Y,inverse(X)),X),
inference(cp,[status(thm)],[eq_26,eq_0]) ).
cnf(eq_36,plain,
add(multiply(Y,X),X) = multiply(X,add(Y,multiplicative_identity)),
inference(cp,[status(thm)],[eq_1,eq_27]) ).
cnf(eq_37,plain,
multiply(Y,X) = multiply(X,add(Y,inverse(X))),
inference(cp,[status(thm)],[eq_1,eq_29]) ).
cnf(eq_38,plain,
multiply(X,multiplicative_identity) = multiply(X,X),
inference(cp,[status(thm)],[eq_6,eq_29]) ).
cnf(eq_39,plain,
multiply(x100,multiplicative_identity) = multiply(x100,inverse(inverse(x100))),
inference(cp,[status(thm)],[eq_22,eq_29]) ).
cnf(eq_40,plain,
X = multiply(X,X),
inference(rw,[status(thm)],[eq_38,eq_5]) ).
cnf(eq_41,plain,
add(multiply(X,Y),Y) = multiply(Y,add(X,multiplicative_identity)),
eq_36 ).
cnf(eq_42,plain,
multiply(X,Y) = multiply(Y,add(X,inverse(Y))),
eq_37 ).
cnf(eq_43,plain,
X = multiply(X,inverse(inverse(X))),
inference(rw,[status(thm)],[eq_39,eq_5]) ).
cnf(eq_44,plain,
add(X,multiplicative_identity) = multiplicative_identity,
inference(rw,[status(thm)],[eq_33,eq_6]) ).
cnf(eq_45,negated_conjecture,
add(add(c,b),a) != add(add(a,b),c),
inference(cp,[status(thm)],[eq_0,eq_30]) ).
cnf(eq_46,plain,
add(multiply(X,Y),X) = X,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_44]),eq_5]) ).
cnf(eq_47,plain,
X = add(X,inverse(multiplicative_identity)),
inference(rw,[status(thm)],[eq_4,eq_32]) ).
cnf(eq_48,plain,
X = add(inverse(multiplicative_identity),X),
inference(rw,[status(thm)],[eq_20,eq_32]) ).
cnf(eq_49,plain,
add(multiply(X,x101),X) = multiply(X,add(x101,X)),
inference(cp,[status(thm)],[eq_40,eq_3]) ).
cnf(eq_50,plain,
add(X,multiply(Y,Z)) = multiply(add(Y,X),add(Z,X)),
inference(cp,[status(thm)],[eq_28,eq_23]) ).
cnf(eq_51,plain,
X = multiply(X,add(Y,X)),
inference(rw,[status(thm)],[eq_49,eq_46]) ).
cnf(eq_52,plain,
X = add(multiply(Y,X),X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_41,eq_44]),eq_5]) ).
cnf(eq_53,plain,
add(x100,inverse(x100)) = multiply(multiplicative_identity,add(x100,add(Y,inverse(x100)))),
inference(cp,[status(thm)],[eq_51,eq_21]) ).
cnf(eq_54,plain,
X = multiply(add(Y,X),X),
inference(cp,[status(thm)],[eq_51,eq_1]) ).
cnf(eq_55,plain,
multiply(X,add(X,Y)) = X,
inference(cp,[status(thm)],[eq_0,eq_51]) ).
cnf(eq_56,plain,
add(X,add(Y,inverse(X))) = multiplicative_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_53,eq_6]),eq_13]) ).
cnf(eq_57,plain,
X = add(X,multiply(Y,X)),
inference(cp,[status(thm)],[eq_52,eq_0]) ).
cnf(eq_58,plain,
X = add(X,inverse(inverse(X))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_32]),eq_47]) ).
cnf(eq_59,plain,
multiply(inverse(X),Y) = multiply(inverse(X),add(X,Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_32]),eq_48]) ).
cnf(eq_60,plain,
add(multiply(add(X,Y),x101),X) = multiply(add(X,Y),add(x101,X)),
inference(cp,[status(thm)],[eq_55,eq_25]) ).
cnf(eq_61,plain,
add(X,add(X,Y)) = add(X,Y),
inference(cp,[status(thm)],[eq_55,eq_52]) ).
cnf(eq_62,plain,
multiply(X,inverse(inverse(X))) = inverse(inverse(X)),
inference(cp,[status(thm)],[eq_58,eq_54]) ).
cnf(eq_63,plain,
add(X,Y) = add(multiply(X,inverse(Y)),Y),
inference(cp,[status(thm)],[eq_0,eq_35]) ).
cnf(eq_64,plain,
X = inverse(inverse(X)),
inference(rw,[status(thm)],[eq_62,eq_43]) ).
cnf(eq_65,plain,
add(X,multiply(Y,Z)) = add(multiply(add(X,Y),Z),X),
inference(rw,[status(thm)],[eq_60,eq_24]) ).
cnf(eq_66,plain,
add(inverse(X),add(x101,X)) = multiplicative_identity,
inference(cp,[status(thm)],[eq_64,eq_56]) ).
cnf(eq_67,plain,
multiply(add(X,x101),add(X,Y)) = add(X,multiply(x101,add(X,Y))),
inference(cp,[status(thm)],[eq_61,eq_2]) ).
cnf(eq_68,plain,
add(inverse(X),add(Y,X)) = multiplicative_identity,
eq_66 ).
cnf(eq_69,plain,
add(X,multiply(Y,Z)) = add(X,multiply(Y,add(X,Z))),
inference(rw,[status(thm)],[eq_67,eq_2]) ).
cnf(eq_70,plain,
add(inverse(multiply(Y,X)),X) = multiplicative_identity,
inference(cp,[status(thm)],[eq_57,eq_68]) ).
cnf(eq_71,plain,
add(inverse(multiply(X,Y)),Y) = multiplicative_identity,
eq_70 ).
cnf(eq_72,plain,
multiply(x100,multiplicative_identity) = multiply(inverse(multiply(X,inverse(x100))),x100),
inference(cp,[status(thm)],[eq_71,eq_42]) ).
cnf(eq_73,plain,
X = multiply(inverse(multiply(Y,inverse(X))),X),
inference(rw,[status(thm)],[eq_72,eq_5]) ).
cnf(eq_74,plain,
multiply(inverse(multiply(X,inverse(Y))),add(X,Y)) = multiply(inverse(multiply(X,inverse(Y))),Y),
inference(cp,[status(thm)],[eq_63,eq_59]) ).
cnf(eq_75,plain,
X = multiply(inverse(multiply(Y,inverse(X))),add(Y,X)),
inference(rw,[status(thm)],[eq_74,eq_73]) ).
cnf(eq_76,plain,
add(add(X,multiply(Y,Z)),Y) = add(Y,multiply(X,add(Z,X))),
inference(cp,[status(thm)],[eq_50,eq_65]) ).
cnf(eq_77,plain,
add(X,Y) = add(add(Y,multiply(X,Z)),X),
inference(rw,[status(thm)],[eq_76,eq_51]) ).
cnf(eq_78,plain,
add(Z,add(X,multiply(Y,Z))) = add(Z,multiply(add(Y,X),X)),
inference(cp,[status(thm)],[eq_50,eq_69]) ).
cnf(eq_79,plain,
add(X,Y) = add(X,add(Y,multiply(Z,X))),
inference(rw,[status(thm)],[eq_78,eq_54]) ).
cnf(eq_80,plain,
add(add(Y,X),add(x101,X)) = add(add(Y,X),x101),
inference(cp,[status(thm)],[eq_75,eq_79]) ).
cnf(eq_81,plain,
add(add(X,Y),Z) = add(add(X,Y),add(Z,Y)),
eq_80 ).
cnf(eq_82,plain,
add(add(x100,X),add(Y,X)) = add(add(Y,X),x100),
inference(cp,[status(thm)],[eq_54,eq_77]) ).
cnf(eq_83,plain,
add(add(X,Y),Z) = add(add(Z,Y),X),
inference(rw,[status(thm)],[eq_82,eq_81]) ).
cnf(eq_84,negated_conjecture,
add(add(a,b),c) != add(add(a,b),c),
inference(cp,[status(thm)],[eq_83,eq_45]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : BOO008-4 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 03:36:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 32.11/32.40 % SZS status Unsatisfiable
% 32.11/32.40 % SZS output start CNFRefutation for /tmp/MaedMax_12445
% See solution above
% 32.11/32.40
%------------------------------------------------------------------------------